What is the inverse of f(x)= 4/3 pi*x^3 ?

The inverse of f(x)= 4/3 pi*x^3 is cube root of (3x)/(4pi)

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inverse of f(x)= 4/3 pi*x^3

inverse

f (x) = \frac{4}{3} π \cdot x^{3}

3 \frac{3 x}{4 π}

Solution steps

y = \frac{4}{3} π x^{3}

Replace

x

with

y

x = \frac{4}{3} π y^{3}

Solve for

y, x = \frac{4}{3} π \cdot y^{3}

3 \frac{3 x}{4 π}

\frac{x + 10}{x - 8}

f (x) = \frac{x - 3}{11}

\frac{3 x - 7}{5 x + 6}

y = 3 x + 8

y = lo g_{10} (x^{4})

What is the inverse of f(x)= 4/3 pi*x^3 ?
The inverse of f(x)= 4/3 pi*x^3 is cube root of (3x)/(4pi)